Abstract-The paper describes strategies towards modelbased automation of intravenous anaesthesia employing advanced control techniques. In particular, based on a detailed compartmental mathematical model featuring pharmacokinetic and pharmacodynamics information two alternative model predictive control strategies are presented: a model predictive control strategy, based on online optimisation, the Extended Predictive Self Adaptive Control (EPSAC) and a multiparametric control strategy based on offline optimisation, the multi-parametric model predictive control (mp-MPC). The multi-parametric features to account for the effect of nonlinearity and the impact of estimation are also described. The control strategies are tested on a set of 12 virtually generated patient models for the regulation of the depth of anaesthesia (DOA) by means of the Bispectral Index (BIS) using Propofol as the administrated anaestetic. The simulations show fast response, suitability of dose and robustness to induce and maintain the desired BIS setpoint.